Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T09:38:14.107145Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 0 inbound Pith citation observations for arXiv:2601.13521.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T09:38:14.107145Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
73 of 73 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4be473f9-978b-4c69-8bfe-35c807ab97d6 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes In the polar perturbations, two of three metric perturbations are considered as independent perturbations
Reference 1
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Unavailable: canonical work link unavailable.
Observation 15527e05-d208-4291-b7d8-264fe1c06ce8 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Specifically, we note thatV 3 = (0,0,0,−1)
Reference 2
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Unavailable: canonical work link unavailable.
Observation e0fa3f0e-28c8-4df3-9e76-73eb4e7f2c95 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes This method is particularly effective for slowly converging potentials
Reference 3
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Unavailable: canonical work link unavailable.
Observation c344e226-0ee9-48fc-bc16-784173b4bd14 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Einstein-Euler-Heisenberg Theory and charged black holes
Reference 4
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Unavailable: canonical work link unavailable.
Observation 3bfaf30f-26cd-4ef6-a9ef-213621dc8b6d · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Consequences of Dirac Theory of the Positron
Reference 5
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Unavailable: canonical work link unavailable.
Observation ccf7d213-3dca-4cd3-b54e-91b89cbb934e · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Fresnel analysis of the wave propagation in nonlinear electrodynamics
Reference 6
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Unavailable: canonical work link unavailable.
Observation a15f0740-d336-4b17-830d-011ce975fd31 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Black hole solutions in Euler-Heisenberg theory
Reference 7
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Unavailable: canonical work link unavailable.
Observation bece7def-be9f-4e23-ba98-0531dccbdb84 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
Reference 8
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Unavailable: canonical work link unavailable.
Observation be201262-e5cc-4ba3-a0a6-ac591852541d · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Rotating black holes in the Einstein–Euler–Heisenberg theory,
Reference 9
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Unavailable: canonical work link unavailable.
Observation cedb2555-7908-4366-901b-c05c7c1b79a7 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Thermodynamics of the Einstein-Euler- Heisenberg rotating black hole,
Reference 10
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Unavailable: canonical work link unavailable.
Observation 0b520be5-0519-48ce-8b8e-ef603d8ebe78 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics
Reference 11
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Unavailable: canonical work link unavailable.
Observation 673652b1-9203-4cdc-ba98-4589e5b07c0a · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Distinguishing black holes from string-inspired Eu- ler–Heisenberg theory through shadow images,
Reference 12
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Unavailable: canonical work link unavailable.
Observation 7b283a91-ff41-427b-a790-06814618991b · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Exact black holes in string-inspired Euler-Heisenberg theory
Reference 13
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Unavailable: canonical work link unavailable.
Observation 6f06d692-f34e-49bc-aa36-613f7a516d77 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Investigating the effects of particle motion and gravitational lensing of black hole in string-inspired Euler–Heisenberg theory,
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82159a62-cb6b-498f-90c6-168b41be416d · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Testing Strong Gravitational Lensing Effects of Supermassive Black Holes with String-Inspired Metric: Observational Signatures and EHT Constraints
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9fcf98db-a2e4-4a7e-a702-25ae0c016f93 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Asymptotic quasinormal modes of a coupled scalar field in the Garfinkle-Horowitz-Strominger dilaton spacetime
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 902ea9bf-1139-4fc1-a44b-35a54016d959 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Thermodynamic and shadow radius analysis of the charged Einstein-Euler-Heisenberg black hole
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d594bf5a-158e-406e-8f16-baaf104d91e8 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Accretion disks around magnetically charged black holes in string theory with an Euler-Heisenberg correction
Reference 18
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Unavailable: canonical work link unavailable.
Observation 2b659073-4905-4cab-982c-8f0ef580fe68 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasi-normal modes of charged, dilaton black holes
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f2f69a7-37cb-453e-a942-71602d4f492a · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quantifying excitations of quasinormal mode systems
Reference 20
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Unavailable: canonical work link unavailable.
Observation b6d9addd-d01b-422a-a3a8-33ba9a763647 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of charged black holes in string theory
Reference 21
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Unavailable: canonical work link unavailable.
Observation a31cb5da-527b-4a31-b216-820254d23b58 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Accretion disks around the Gibbons-Maeda-Garfinkle-Horowitz-Strominger charged black holes
Reference 22
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Unavailable: canonical work link unavailable.
Observation d3859f11-ae2c-4fa8-aadc-7f1a8a84cc21 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Mining information from binary black hole mergers: A Comparison of estimation methods for complex exponentials in noise
Reference 23
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Unavailable: canonical work link unavailable.
Observation 78f4f6de-9eab-42f3-8a98-3e0e71d31fc0 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Tests for the existence of black holes through gravitational wave echoes
Reference 24
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Unavailable: canonical work link unavailable.
Observation a60e8a36-1ce2-4a31-9eda-c0689c98abdc · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 009e34bb-3542-4ebd-be0e-702a8cac3cc0 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Matched-filtering and parameter estimation of ringdown waveforms
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation baca694e-cd0e-41d7-8495-7bd07fa5de70 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Testing the no-hair theorem with GW150914
Reference 27
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Unavailable: canonical work link unavailable.
Observation fedf03d0-8da3-4567-b306-7206c4e9ca37 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: Stability, ringdown, and gravitational-wave emission
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62262a15-2be0-4b1f-ad0d-e89351cbe416 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Is the gravitational-wave ringdown a probe of the event horizon?
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1364bbec-3ca0-4329-b629-2afa167c6649 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Testing the nature of dark compact objects: A status report
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9cbdb01c-1c84-4de3-a3ad-8ce1d5cc3458 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal behavior of massless scalar field perturbation in Reissner- Nordstrom anti-de Sitter spacetimes
Reference 31
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Unavailable: canonical work link unavailable.
Observation f25aaca2-38a4-468f-964f-94b9d609b4b0 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes f(R) gravity wormholes sourced by a phantom scalar field
Reference 32
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Unavailable: canonical work link unavailable.
Observation 06b1c075-9323-4426-91fa-0528974e0ee5 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Effective Field Theory of Black Hole Quasinormal Modes in Scalar-Tensor Theories
Reference 33
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Unavailable: canonical work link unavailable.
Observation 9e2fe427-fe27-44bb-ba2b-b1abc1002abb · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes and their anomalous behavior for black holes in f(R) gravity
Reference 34
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Unavailable: canonical work link unavailable.
Observation f0ca5420-c336-41c8-bac2-7b99d8c5d599 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Echoes from phantom wormholes
Reference 35
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Unavailable: canonical work link unavailable.
Observation fb86f9c7-f7a6-4dea-812b-fbde43418f39 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Pseudospectrum and Black Hole Quasinormal Mode Insta- bility
Reference 36
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Unavailable: canonical work link unavailable.
Observation 8cee527b-a9d7-40fa-b9fe-a5c7a1e17890 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Gravitational ringing of rotating black holes in higher- derivative gravity
Reference 37
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Unavailable: canonical work link unavailable.
Observation 2eacb14f-2537-4deb-9886-2b30da7174f4 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes for massive charged scalar fields in Reissner-Nordstr\"om dS black holes: anomalous decay rate
Reference 38
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Unavailable: canonical work link unavailable.
Observation 906fb744-2aba-42a0-a0e7-951574e778ba · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of black holes in f(T) gravity
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62c9a91f-e3bd-4236-bad8-fd0f314c695e · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources,
Reference 40
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Unavailable: canonical work link unavailable.
Observation 56538ed0-f8a5-4e54-b9e7-6cad8cf5e880 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Destabilizing the Fundamental Mode of Black Holes: The Elephant and the Flea
Reference 41
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Unavailable: canonical work link unavailable.
Observation b1b95708-c708-4874-a14c-1ba203feb032 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Stability of higher dimensional Schwarzschild black holes
Reference 42
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Unavailable: canonical work link unavailable.
Observation 630872fb-95ef-481e-a1ac-e9c231a38c58 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 152faf94-0c96-408f-aee1-4cdfca1a63e9 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasi-topological Electromagnetism: Dark Energy, Dyonic Black Holes, Stable Photon Spheres and Hidden Electromagnetic Duality
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed0fc7a6-9eb0-4e29-b51a-6001b1090090 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Decay of massive scalar field in a black hole background immersed in magnetic field
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 453449bf-4099-40f8-8c43-138fbc3a83a2 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal frequencies of gravitational perturbation in regular black hole spacetimes,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 728bd4fa-b985-4d28-b493-6f275832bf75 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of scalar field coupled to Einstein’s ten- sor in the non-commutative geometry inspired black hole,
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7c23101-52cf-4e7d-b932-7cf8cf30058a · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Ruffini,Black Holes: Les Astres Occlus, Gordon and Breach Science Publishers, New York, NY, USA (1973)
Reference 48
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Unavailable: canonical work link unavailable.
Observation 0217fead-c169-403b-8342-0b0b986ff6a7 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Black Holes and Membranes in Higher Dimensional Theories with Dilaton Fields,
Reference 49
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Unavailable: canonical work link unavailable.
Observation 82c4cc07-26fb-4134-84e7-ee14e97e7897 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Charged black holes in string theory,
Reference 50
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Unavailable: canonical work link unavailable.
Observation 1f59975a-ae09-4898-8bc0-10b8cb3a03b9 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Wheeler,Geometrodynamics, Academic Press, New York, NY, USA (1973)
Reference 51
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Unavailable: canonical work link unavailable.
Observation 4cd190b5-be9c-4046-8262-9ce3c1828893 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Stability of a Schwarzschild singularity,
Reference 52
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Unavailable: canonical work link unavailable.
Observation b454d170-370b-4d99-85c2-28342b8b075e · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Stability of a Schwarzschild Singularity,
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45284b77-c6d4-4aca-95b2-1a0aca6abcfc · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of scalarized black holes in the Einstein-Maxwell-Scalar theory
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 541ac7e1-65c3-4dc4-97ef-6d885a9be721 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Chandrasekhar,The Mathematical Theory of Black Holes, Oxford University Press, New York, NY, 25 USA (1983)
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8d48e6f-e083-4658-9214-e61c8ecea783 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of black holes: from astrophysics to string theory
Reference 56
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Unavailable: canonical work link unavailable.
Observation dcc51544-4a26-4f65-b9a3-33e9028f3273 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Effective potential for even parity Regge-Wheeler gravitational perturbation equations,
Reference 57
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Unavailable: canonical work link unavailable.
Observation 1cfadd29-6a9e-494b-a3b3-07146dbe5169 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Gravitational perturbations of spherically symmetric systems. I. The exterior problem.,
Reference 58
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Unavailable: canonical work link unavailable.
Observation b432be1a-30cd-4293-a33e-32178bc15b5a · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Black Hole Normal Modes: A WKB Approach. 3. The Reissner- Nordstrom Black Hole,
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0107209e-fc45-461b-b686-8f84fc45b2e1 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3ee0855-552d-46e2-99f7-2039892c1f56 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of Schwarzschild black holes: The determination of quasinormal frequencies with very large imaginary parts,
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0d6c2a1-d59c-48f6-9634-31e42c4545d9 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Passage of radiation through wormholes of arbitrary shape
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f364f1e-a01e-41c4-b5ea-ed79804c0192 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Black Hole Normal Modes: A WKB Approach. 1. Foundations and Application of a Higher Order WKB Analysis of Potential Barrier Scattering,
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6bf9e21b-a407-4edb-b6ff-9f1cafe75223 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: Stability, ringdown, and gravitational-wave emission
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c363806-b895-4888-84dd-be85ff5cf2d0 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of black holes. The improved semianalytic approach
Reference 65
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Unavailable: canonical work link unavailable.
Observation a9760350-d7ae-4d9f-8273-d46e5bbf812d · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Scalarized black holes in the Einstein-Maxwell-scalar theory with a quasi-topological term
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a67ff77-a0da-485d-a7a4-96629af3fe3e · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Advanced Methods in Black-Hole Perturbation Theory
Reference 67
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Unavailable: canonical work link unavailable.
Observation 35ad40e8-0614-41a3-a1c6-ef0922f6a356 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Unresolved cited work
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30ff9f59-130d-4cc9-a8e4-6267a0d3d176 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of black holes and black branes
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55d38275-5384-44a5-a192-815ab322c380 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes The quasi-normal modes of the Schwarzschild black hole,
Reference 70
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Unavailable: canonical work link unavailable.
Observation d5356ca5-60fb-4e76-ab9f-144e2e565576 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f06b20f9-38ab-4def-b4cd-f72cce69ee9b · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Quasinormal modes of weakly charged Einstein-Maxwell-dilaton black holes
Reference 72
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Unavailable: canonical work link unavailable.
Observation 09746ff9-be92-4d08-91b8-471e7da53520 · outbound
Polar perturbations of dilaton-Euler-Heisenberg black holes Black hole quasinormal modes using the asymptotic iteration method
Reference 73
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Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.